7972649813 has 16 divisors (see below), whose sum is σ = 8182388976. Its totient is φ = 7766254080.

The previous prime is 7972649807. The next prime is 7972649819. The reversal of 7972649813 is 3189462797.

It is an interprime number because it is at equal distance from previous prime (7972649807) and next prime (7972649819).

It can be written as a sum of positive squares in 8 ways, for example, as 83302129 + 7889347684 = 9127^2 + 88822^2 .

It is a cyclic number.

It is not a de Polignac number, because 7972649813 - 2⁸ = 7972649557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972649819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980743 + ... + 1984763.

It is an arithmetic number, because the mean of its divisors is an integer number (511399311).

Almost surely, 2^7972649813 is an apocalyptic number.

7972649813 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

7972649813 is a deficient number, since it is larger than the sum of its proper divisors (209739163).

7972649813 is a wasteful number, since it uses less digits than its factorization.

7972649813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424.

The product of its digits is 4572288, while the sum is 56.

The square root of 7972649813 is about 89289.6960068742. The cubic root of 7972649813 is about 1997.7182154697.

The spelling of 7972649813 in words is "seven billion, nine hundred seventy-two million, six hundred forty-nine thousand, eight hundred thirteen".